Linear Transformations

The graph f is shifted 4 units up to create the graph of g.

A student graphed f(x) = x and g(x) = f(x) + 4 on the same coordinate grid. Which statement describes how graphs f and g are related?

The graph of f was vertically streched by a factor of 1/4.

Function f(x) = x was used to create the graph of g(x) = 1/4f(x). Which statement describes the transformation?

The graph of function f was vertically compressed by a factor of 1/2 to create function g.

The function f(x) = x was transformed using the function rule g(x) = 0.5f(x). Which of the following is true about the transformation of function f to function g?

The graph of f shiftedvertically 2 units to the right

The graph of f(x) = x was transformed to create g(x) = f(x)-2. Which statement describes the transformation?

The graph of f was vertically stretched by a factor of 4.

The graph of f(x) = x was transformed to create the graph of g(x) = 4f(x). Which statement describes the transformation?

The graph of f was translated 5 units down to create the graph of function g.

The graph of function f and g is shown on the coordinate grid. Which statement describes the transformation? Hint: Look at the y-intercepts

The graph of function f was translated 4 units down to create the graph of function g.

The graph of function f is shown on the coordinate grid. If function g(x) = f(x) - 4, which of the following describes the transformation?